Answer
$y=-\frac{2}{3}x+9$
Work Step by Step
Because the shoreline and path of the boat are parallel, they have the same slope, i.e., $m=-\frac{2}{3}$.
Given: $(x_{1},y_{1})=(9,3)$
Using point-slope form $y-y_{1}=m(x-x_{1})$, we have
$y-3=-\frac{2}{3}(x-9)$
Using distributive property, we get
$y-3=-\frac{2}{3}x+6$
$\implies y=-\frac{2}{3}x+9$
An equation that represents the path of the boat is
$y=-\frac{2}{3}x+9$.
